Question
$\frac{\text{x}-3}{5}-2=-1$
✓
Answer
$\frac{\text{x}-3}{5}-2=-1$ Adding $2$ to both sides,
we get $\frac{\text{x}-3}{5}-2+2=-1+2$
$\frac{\text{x}-3}{5}=1$ Multiplying both sides by $5, $
we get $\frac{\text{x}-3}{5}\times5=1\times5$
$\text{x}-3=5$ Adding $3$ to both sides,
we get $x - 3 + 3 = 5 + 3 x = 8$
Verification: Substituting $x = 8$ in $L.H.S., $
we get $=\frac{8-3}{5}-2=\frac{5}{5}-2=1-2=-1=\text{R.H.S.}$
Hence, verified.
we get $\frac{\text{x}-3}{5}-2+2=-1+2$
$\frac{\text{x}-3}{5}=1$ Multiplying both sides by $5, $
we get $\frac{\text{x}-3}{5}\times5=1\times5$
$\text{x}-3=5$ Adding $3$ to both sides,
we get $x - 3 + 3 = 5 + 3 x = 8$
Verification: Substituting $x = 8$ in $L.H.S., $
we get $=\frac{8-3}{5}-2=\frac{5}{5}-2=1-2=-1=\text{R.H.S.}$
Hence, verified.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Each side of a square flower bed is $2\ m \ 80\ cm$ long. It is extended by digging a strip $30\ cm$ wide all around it. Find the area of the enlarged flower bed and also the increase in the area of the flower bed.
→The performance of students in $1^{st}$ term and $2^{nd}$ term is as given below. Draw a double bar graph choosing appropriate scale and answer the following:
$i.$ In which subject, has the children improved their performance the most?
$ii.$ Has the performance gone down in any subject?
→|
Subject
|
English
|
Hindi
|
Maths
|
Science
|
Social Science
|
|
$1^{st}$ term
|
$67$
|
$72$
|
$88$
|
$81$
|
$73$
|
|
$2^{nd}$ term
|
$70$
|
$65$
|
$95$
|
$85$
|
$75$
|
$ii.$ Has the performance gone down in any subject?
Two circles are drawn inside a big circle with diameters $\frac{2}{3}\text{rd}$ and $\frac{1}{3}\text{rd}$ of the diameter of the big circle as shown in Fig. Find the area of the shaded portion, if the length of the diameter of the circle is $18\ cm. $
→Add $2 x^2-3 x+1$ to the sum of $3 x^2-2 x$ and $3 x+7$
→A rectangular grassy lawn measuring $38m$ by $25m$ has been surrounded externally by a $2.5-m-$wide path. Calculate the cost of gravelling the path at the rate of $Rs.120$ per $m^2$.
→Divide the sum of $\frac{65}{12}$ and $\frac{8}{3}$ by their difference.
→Construct a $\triangle\text{ABC}$ in which $BC = 3.6\ cm, AB = 5\ cm$ and $AC = 5.4\ cm.$ Draw the perpendicular bisector of the side $BC.$
→The foot of a ladder is $6\ m$ away from a wall and its top reaches a window $8\ m$ above the ground. If the ladder is shifted in such a way that its foot is $8\ m$ away from the wall, to what height does its top reach?
→Look at the bar graph given below.
Read it care fully and answer the following questions.
$i.$ What information does the bar graph give?
$ii.$ In which subject is the student very good?
$iii.$ In which subject is the poor?
$iv.$ What is the average of his marks?
→Read it care fully and answer the following questions.
$i.$ What information does the bar graph give?
$ii.$ In which subject is the student very good?
$iii.$ In which subject is the poor?
$iv.$ What is the average of his marks?
Find the values of the unknowns x and y in the following diagrams:
